JournalsowrVol. 6 / No. 3DOI 10.4171/owr/2009/33

Explicit Methods in Number Theory

  • Hendrik W. Lenstra, Jr.

    University of Leiden, Netherlands
  • Don B. Zagier

    Max-Planck-Institut für Mathematik, Bonn, Germany
  • Karim Belabas

    Université de Bordeaux I, Talence, France
Explicit Methods in Number Theory cover

You need to subscribe to download the article.

Abstract

These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points on curves and higher-dimensional varieties, and aspects of lattice basis reduction.